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Simplifying 2x + 7 = -41 + 6x Reorder the terms: 7 + 2x = -41 + 6x Solving 7 + 2x = -41 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 2x + -6x = -41 + 6x + -6x Combine like terms: 2x + -6x = -4x 7 + -4x = -41 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -4x = -41 + 0 7 + -4x = -41 Add '-7' to each side of the equation. 7 + -7 + -4x = -41 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -41 + -7 -4x = -41 + -7 Combine like terms: -41 + -7 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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